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@article{abrahams92,
author = {Abrahams, A. M. and Heiderich, K. H. and Shapiro, S. L. and Teukolsky, S. A.},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Naked singularities, Numerical relativity, Singularities},
pages = {2452--2463},
title = {Vacuum initial data, singularities, and cosmic censorship},
volume = {46},
year = {1992}
}
@article{abrahams93,
author = {Abrahams, A. M. and Evans, C. R.},
doi = {10.1103/PhysRevLett.70.2980},
journal = {Phys. Rev. Lett.},
keywords = {Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {2980--2983},
title = {Critical behavior and scaling in vacuum axisymmetric gravitational collapse},
volume = {70},
year = {1993}
}
@article{andersson00,
author = {Andersson, L. and Rendall, A. D.},
doi = {10.1007/s002200100406},
eprint = {gr-qc/0001047},
journal = {Commun. Math. Phys.},
keywords = {Generic collapse, Mathematical cosmology, Singularities},
pages = {479--511},
title = {Quiescent cosmological singularities},
volume = {218},
year = {2001}
}
@article{anninos91a,
author = {Anninos, P. and Centrella, J. M. and Matzner, R. A.},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical relativity},
pages = {1825--1838},
title = {Nonlinear wave solutions to the planar vacuum Einstein equations},
volume = {43},
year = {1991}
}
@article{anninos91b,
author = {Anninos, P. and Centrella, J. M. and Matzner, R. A.},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical relativity},
pages = {1808--1824},
title = {Numerical methods for solving the planar vacuum Einstein equations},
volume = {43},
year = {1991}
}
@article{anninos01,
author = {Anninos, P.},
cited = {2 December 2001},
eid = {lrr-2001-2},
journal = {Living Rev. Relativity},
keywords = {Numerical cosmology},
title = {Computational Cosmology: From the Early Universe to the Large Scale Structure},
url = {http://www.livingreviews.org/lrr-2001-2},
volume = {4},
year = {2001}
}
@article{ashtekar00,
author = {Ashtekar, A. and Beetle, C. and Dreyer, O. and Fairhurst, S. and Krishnan, B. and Lewandowski, J. and Wisniewski, J.},
doi = {10.1103/PhysRevLett.85.3564},
eprint = {gr-qc/0006006},
journal = {Phys. Rev. Lett.},
keywords = {Black holes},
pages = {3564--3567},
title = {Generic Isolated Horizons and Their Applications},
volume = {85},
year = {2000}
}
@article{banados92,
archiveprefix = {arXiv},
author = {Ba{\~{n}}ados, M. and Teitelboim, C. and Zanelli, J.},
doi = {10.1103/PhysRevLett.69.1849},
eprint = {hep-th/9204099},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Black holes},
pages = {1849--1851},
primaryclass = {hep-th},
title = {Black Hole in Three-Dimensional Spacetime},
volume = {69},
year = {1992}
}
@article{barrabes91,
author = {Barrab{\`{e}}s, C. and Israel, W. and Letelier, P. S.},
doi = {10.1016/0375-9601(91)90203-K},
journal = {Phys. Lett. A},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {41--44},
title = {Analytic models of nonspherical collapse, cosmic censorship and the hoop conjecture},
volume = {160},
year = {1991}
}
@article{barrabes92,
author = {Barrab{\`{e}}s, C. and Gramain, A. and Lesigne, E. and Letelier, P. S.},
doi = {10.1088/0264-9381/9/9/001},
journal = {Class. Quantum Grav.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {L105--L110},
title = {Geometric inequalities and the hoop conjecture},
volume = {9},
year = {1992}
}
@article{barrow79,
author = {Barrow, J. D. and Tipler, F. J.},
doi = {10.1016/0370-1573(79)90097-8},
journal = {Phys. Rep.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {371--402},
title = {Analysis of the Generic Singularity Studies by Belinskii, Khalatnikov, and Lifshitz},
volume = {56},
year = {1979}
}
@article{barrow82,
author = {Barrow, J. D.},
doi = {10.1016/0370-1573(82)90171-5},
journal = {Phys. Rep.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {1--49},
title = {Chaotic Behaviour in General Relativity},
volume = {85},
year = {1982}
}
@article{barrow97,
author = {Barrow, J. D. and Levin, J.},
doi = {10.1103/PhysRevLett.80.656},
eprint = {gr-qc/9706065},
journal = {Phys. Rev. Lett.},
keywords = {Mixmaster, Numerical cosmology, Singularities},
pages = {656--659},
title = {Chaos in the Einstein--Yang--Mills Equations},
volume = {80},
year = {1998}
}
@article{bartnik88,
author = {Bartnik, R. and McKinnon, J.},
doi = {10.1103/PhysRevLett.61.141},
journal = {Phys. Rev. Lett.},
keywords = {Einstein-Yang-Mills theory, Mathematical relativity},
pages = {141--144},
title = {Particlelike Solutions of the Einstein--Yang--Mills Equations},
volume = {61},
year = {1988}
}
@mastersthesis{belanger01,
address = {Rochester, MI},
author = {Belanger, Z. B.},
format = {ma},
keywords = {Inhomogeneous cosmology, Numerical relativity, Singularities},
school = {Oakland University},
title = {Adaptive Mesh Refinement in the $T^2$ Symmetric Spacetime},
year = {2001}
}
@article{belinskii69a,
author = {Belinskii, V. A. and Khalatnikov, I. M.},
journal = {Sov. Phys. JETP},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {1174--1180},
title = {General Solution of the Gravitational Equations with a Physical Singularity},
volume = {30},
year = {1969}
}
@article{belinskii69b,
author = {Belinskii, V. A. and Khalatnikov, I. M.},
journal = {Sov. Phys. JETP},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {911--917},
title = {On the Nature of the Singularities in the General Solution of the Gravitational Equations},
volume = {29},
year = {1969}
}
@article{belinskii71a,
author = {Belinskii, V. A. and Khalatnikov, I. M.},
journal = {Sov. Phys. JETP},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {169--172},
title = {General Solution of the Gravitational Equations with a Physical Oscillatory Singularity},
volume = {32},
year = {1971}
}
@article{belinskii71b,
author = {Belinskii, V. A. and Lifshitz, E. M. and Khalatnikov, I. M.},
journal = {Sov. Phys. Usp.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {745--765},
title = {Oscillatory Approach to the Singularity Point in Relativistic Cosmology},
volume = {13},
year = {1971}
}
@article{belinskii73,
author = {Belinskii, V. A. and Khalatnikov, I. M.},
journal = {Sov. Phys. JETP},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {591--597},
title = {Effect of scalar and vector fields on the nature of the cosmological singularity},
volume = {36},
year = {1973}
}
@article{belinskii82,
author = {Belinskii, V. A. and Khalatnikov, I. M. and Lifshitz, E. M.},
doi = {10.1080/00018738200101428},
journal = {Adv. Phys.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {639--667},
title = {A general solution of the Einstein equations with a time singularity},
volume = {31},
year = {1982}
}
@article{belinskii92,
author = {Belinskii, V. A.},
journal = {JETP Lett.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {421--425},
title = {Turbulence of a gravitational field near a cosmological singularity},
volume = {56},
year = {1992}
}
@article{berger74,
author = {Berger, B. K.},
doi = {10.1016/0003-4916(74)90207-3},
journal = {Ann. Phys. (N.Y.)},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Quantum gravity, Singularities},
pages = {458--490},
title = {Quantum graviton creation in a model universe},
volume = {83},
year = {1974}
}
@article{berger91,
author = {Berger, B. K.},
doi = {10.1007/BF00756831},
journal = {Gen. Relativ. Gravit.},
keywords = {Mixmaster, Numerical relativity, Singularities},
pages = {1385--1402},
title = {Comments on the Computation of Liapunov Exponents for the Mixmaster Universe},
volume = {23},
year = {1991}
}
@article{berger93,
author = {Berger, B. K. and Moncrief, V.},
doi = {10.1103/PhysRevD.48.4676},
eprint = {gr-qc/9307032},
journal = {Phys. Rev. D},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Numerical relativity, Singularities, Symplectic numerical methods},
pages = {4676--4687},
title = {Numerical Investigation of Cosmological Singularities},
volume = {48},
year = {1993}
}
@article{berger94,
author = {Berger, B. K.},
eprint = {gr-qc/9308016},
journal = {Phys. Rev. D},
keywords = {Mixmaster, Numerical relativity},
pages = {1120--1123},
title = {How to Determine Approximate Mixmaster Parameters from Numerical Evolution of Einstein's Equations},
volume = {49},
year = {1994}
}
@article{berger95a,
archiveprefix = {arXiv},
author = {Berger, B. K. and Chru{\'{s}}ciel, P. T. and Moncrief, V.},
doi = {10.1006/aphy.1995.1012},
eprint = {gr-qc/9404005},
journal = {Ann. Phys. (N.Y.)},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {322--354},
title = {On `Asymptotically Flat' Space-Times with $G_2$-Invariant Cauchy Surfaces},
volume = {237},
year = {1995}
}
@article{berger95b,
author = {Berger, B. K. and Garfinkle, D. and Swamy, V.},
doi = {10.1007/BF02105076},
eprint = {gr-qc/9405069},
journal = {Gen. Relativ. Gravit.},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {511--527},
title = {Detection of Computer Generated Gravitational Waves in Numerical Cosmologies},
volume = {27},
year = {1995}
}
@article{berger96a,
author = {Berger, B. K.},
doi = {10.1088/0264-9381/13/5/036},
eprint = {gr-qc/9512005},
journal = {Class. Quantum Grav.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {1273--1276},
title = {Comment on the `Chaotic' Singularity in Some Magnetic Bianchi VI$_0$ Cosmologies},
volume = {13},
year = {1996}
}
@inproceedings{berger96b,
address = {Berlin; New York},
author = {Berger, B. K.},
booktitle = {Relativity and Scientific Computing: Computer Algebra, Numerics, Visualization},
conference = {152nd WE-Heraeus seminar on Relativity and Scientific Computing, Bad Honnef, Germany, September 18\,--\,22, 1995},
editor = {Hehl, F. W. and Puntigam, R. A. and Ruder, H.},
eprint = {gr-qc/9512004},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Mixmaster, Numerical cosmology, Singularities, Symplectic numerical methods},
pages = {152--169},
publisher = {Springer},
title = {Numerical Investigation of Cosmological Singularities},
year = {1996}
}
@article{berger96c,
author = {Berger, B. K. and Garfinkle, D. and Strasser, E.},
doi = {10.1088/0264-9381/14/2/001},
eprint = {gr-qc/9609072},
journal = {Class. Quantum Grav.},
keywords = {Mixmaster, Numerical cosmology, Singularities, Symplectic numerical methods},
pages = {L29--L36},
title = {New algorithm for Mixmaster dynamics},
volume = {14},
year = {1997}
}
@inproceedings{berger97a,
address = {Singapore; River Edge, NJ},
author = {Berger, B. K.},
booktitle = {General Relativity and Gravitation},
conference = {Proceedings of the 14th International Conference on General Relativity and Gravitation: Florence, Italy, 6\,--\,12 August 1995},
editor = {Francaviglia, M. and Longhi, G. and Lusanna, L. and Sorace, E.},
eprint = {gr-qc/9512003},
keywords = {Numerical relativity, Singularities},
pages = {57--78},
publisher = {World Scientific},
title = {Numerical Investigation of Singularities},
year = {1997}
}
@article{berger97b,
author = {Berger, B. K. and Garfinkle, D.},
doi = {10.1103/PhysRevD.57.4767},
eprint = {gr-qc/9710102},
journal = {Phys. Rev. D},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Numerical relativity, Singularities},
pages = {4767--4777},
title = {Phenomenology of the Gowdy universe on $T^{3} \times R$},
volume = {57},
year = {1998}
}
@inproceedings{berger97c,
address = {Bristol; Philadelphia; Jerusalem},
author = {Berger, B. K. and Garfinkle, D. and Moncrief, V.},
booktitle = {Internal Structure of Black Holes and Spacetime Singularities},
conference = {An international research workshop, Haifa, June 29\,--\,July 3, 1997},
editor = {Burko, L. M. and Ori, A.},
eprint = {gr-qc/9709073},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Mixmaster, Numerical cosmology, Singularities},
pages = {441--457},
publisher = {Institute of Physics; Israel Physical Society},
series = {Annals of the Israel Physical Society},
title = {Numerical Study of Cosmological Singularities},
volume = {13},
year = {1998}
}
@article{berger97e,
author = {Berger, B. K. and Moncrief, V.},
eprint = {gr-qc/9801078},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {7235--7240},
title = {Numerical Evidence that the Singularity in Polarized $U(1)$ Symmetric Cosmologies on $T^3 \times R$ is Velocity Dominated},
volume = {57},
year = {1998}
}
@article{berger97g,
author = {Berger, B. K. and Chru{\'{s}}ciel, P. T. and Isenberg, J. and Moncrief, V.},
doi = {10.1006/aphy.1997.5707},
eprint = {gr-qc/9702007},
journal = {Ann. Phys. (N.Y.)},
keywords = {Inhomogeneous cosmology, Mathematical cosmology},
pages = {117--148},
title = {Global Foliations of Vacuum Spacetimes with $T^{2}$ Isometry},
volume = {260},
year = {1997}
}
@online{berger97f,
author = {Berger, B. K.},
cited = {20 January 2000},
format = {lecture notes},
keywords = {Spectral methods, Symplectic numerical methods},
publisher = {University of California, Santa Barbara},
title = {A Spectral Symplectic Method for Numerical Investigation of Cosmological Singularities},
url = {http://online.itp.ucsb.edu/online/numrel00/berger/},
year = {2000}
}
@article{berger98a,
author = {Berger, B. K. and Moncrief, V.},
eid = {064023},
eprint = {gr-qc/9804085},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {1--8},
title = {Evidence for an oscillatory singularity in generic U(1) symmetric cosmologies on $T^3 \times R$},
volume = {58},
year = {1998}
}
@preprint{berger98b,
author = {Berger, B. K.},
eprint = {gr-qc/9801010},
format = {arxiv},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
title = {On the Nature of the Generic Big Bang},
year = {1998}
}
@article{berger98c,
author = {Berger, B. K. and Garfinkle, D. and Isenberg, J. A. and Moncrief, V. and Weaver, M.},
eprint = {gr-qc/9805063},
journal = {Mod. Phys. Lett. A},
keywords = {Inhomogeneous cosmology, Numerical relativity, Singularities},
pages = {1565--1574},
title = {The singularity in generic gravitational collapse is spacelike, local, and oscillatory},
volume = {13},
year = {1998}
}
@article{berger98d,
author = {Berger, B. K.},
cited = {3 May 1998},
eid = {lrr-1998-7},
journal = {Living Rev. Relativity},
keywords = {Numerical cosmology, Numerical relativity, Singularities},
title = {Numerical Approaches to Spacetime Singularities},
url = {http://www.livingreviews.org/lrr-1998-7},
volume = {1},
year = {1998}
}
@article{berger99a,
author = {Berger, B. K.},
eid = {023508},
eprint = {gr-qc/9907083},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
title = {Influence of Scalar Fields on the Approach to the Singularity in Spatially Inhomogeneous Cosmologies},
volume = {61},
year = {2000}
}
@article{berger99b,
author = {Berger, B. K. and Moncrief, V.},
eid = {123501},
eprint = {gr-qc/0006071},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {1--9},
title = {Signature for local Mixmaster dynamics in U(1) symmetric cosmologies},
volume = {62},
year = {2000}
}
@article{berger01,
author = {Berger, B. K. and Isenberg, J. A. and Weaver, M.},
eprint = {gr-qc/0104048},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
note = {Erratum: Phys. Rev. D 67 (2003) 129901},
pages = {084006},
title = {Oscillatory Approach to the Singularity in Vacuum Spacetimes with $T^2$ Isometry},
volume = {64},
year = {2001}
}
@inproceedings{berger01a,
address = {Providence, RI},
author = {Berger, B. K.},
booktitle = {Differential Equations and Mathematical Physics},
conference = {Proceedings of an international conference held at the University of Alabama in Birmingham, March 16\,--\,20, 1999},
editor = {Weikard, R. and Weinstein, G.},
eprint = {gr-qc/0106009},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
publisher = {American Mathematical Society},
series = {AMS/IP Studies in Advanced Mathematics},
title = {Approach to the Singularity in Spatially Inhomogeneous Cosmologies},
volume = {16},
year = {2000}
}
@article{bizon96,
author = {Bizo{\'{n}}, P.},
eprint = {gr-qc/9606060},
journal = {Acta Cosm.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {81},
title = {How to Make a Tiny Black Hole?},
volume = {22},
year = {1996}
}
@article{bizon98,
author = {Bizo{\'{n}}, P. and Chmaj, T.},
doi = {10.1103/PhysRevD.58.041501},
eid = {041501},
eprint = {gr-qc/9801012},
journal = {Phys. Rev. D},
keywords = {Critical phenomena, Numerical relativity},
pages = {1--4},
title = {Formation and critical collapse of Skyrmions},
volume = {58},
year = {1998}
}
@article{bizon99,
author = {Bizo{\'{n}}, P. and Chmaj, T. and Tabor, Z.},
doi = {10.1088/0951-7715/13/4/323},
eprint = {math-ph/9912009},
journal = {Nonlinearity},
keywords = {Critical phenomena, Nonlinear sigma model, Numerical relativity, Wave maps},
pages = {1411--1423},
title = {Dispersion and collapse of wave maps},
volume = {13},
year = {2000}
}
@article{bizon01,
author = {Bizo{\'{n}}, P. and Tabor, Z.},
doi = {10.1103/PhysRevD.64.121701},
eid = {121701},
eprint = {math-ph/0105016},
journal = {Phys. Rev. D},
keywords = {Critical phenomena, Numerical relativity, Yang-Mills fields},
pages = {1--4},
title = {On blowup for Yang--Mills fields},
volume = {64},
year = {2001}
}
@article{bonanno95,
author = {Bonanno, A. and Droz, S. and Israel, W. and Morsink, S. M.},
eprint = {gr-qc/9411050},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {553--567},
title = {Structure of the Spherical Black Hole Interior},
volume = {450},
year = {1995}
}
@article{brady95a,
archiveprefix = {arXiv},
author = {Brady, P. R. and Chambers, C. M.},
doi = {10.1103/PhysRevD.51.4177},
eprint = {gr-qc/9501025},
journal = {Phys. Rev.},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {4177--4186},
title = {Nonlinear instability of Kerr-type Cauchy horizons},
volume = {51},
year = {1995}
}
@article{brady95b,
adsurl = {http://adsabs.harvard.edu/abs/1995PhRvL..75.1256B},
archiveprefix = {arXiv},
author = {Brady, P. R. and Smith, J. D.},
doi = {10.1103/PhysRevLett.75.1256},
eprint = {gr-qc/9506067},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {1256--1259},
primaryclass = {gr-qc},
title = {Black Hole Singularities: A Numerical Approach},
volume = {75},
year = {1995}
}
@article{brady97a,
adsurl = {http://adsabs.harvard.edu/abs/1997PhRvD..56.6057B},
archiveprefix = {arXiv},
author = {Brady, P. R. and Chambers, C. M. and Gon{\c{c}}alves, S. M. C. V.},
doi = {10.1103/PhysRevD.56.R6057},
eprint = {gr-qc/9709014},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {R6057--R6061},
title = {Phases of massive scalar field collapse},
volume = {56},
year = {1997}
}
@article{brady97c,
adsurl = {http://adsabs.harvard.edu/abs/1997PhRvD..55.7538B},
archiveprefix = {arXiv},
author = {Brady, P. R. and Chambers, C. M. and Krivan, W. and Laguna, P.},
doi = {10.1103/PhysRevD.55.7538},
eprint = {gr-qc/9611056},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {7538--7545},
title = {Telling tails in the presence of a cosmological constant},
volume = {55},
year = {1997}
}
@article{brady98,
author = {Brady, P. R. and Moss, I. G. and Myers, R. C.},
doi = {10.1103/PhysRevLett.80.3432},
eprint = {gr-qc/9801032},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Singularities},
pages = {3432--3435},
title = {Cosmic Censorship: As Strong as Ever},
volume = {80},
year = {1998}
}
@article{brady98a,
archiveprefix = {arXiv},
author = {Brady, P. R. and Droz, S. and Morsink, S. M.},
doi = {10.1103/PhysRevD.58.084034},
eid = {084034},
eprint = {gr-qc/9805008},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Singularities},
primaryclass = {gr-qc},
title = {Late-time singularity inside nonspherical black holes},
volume = {58},
year = {1998}
}
@article{breitenlohner97a,
author = {Breitenlohner, P. and Lavrelashvili, G. and Maison, D.},
doi = {10.1016/S0550-3213(98)00177-1},
eprint = {gr-qc/9703047},
journal = {Nucl. Phys. B},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {427--443},
title = {Mass Inflation and Chaotic Behavior Inside Hairy Black Holes},
volume = {524},
year = {1998}
}
@inproceedings{breitenlohner97b,
address = {Bristol; Philadelphia; Jerusalem},
author = {Breitenlohner, P. and Lavrelashvili, G. and Maison, D.},
booktitle = {Internal Structure of Black Holes and Spacetime Singularities},
conference = {An international research workshop, Haifa, June 29\,--\,July 3, 1997},
editor = {Burko, L. M. and Ori, A.},
eprint = {gr-qc/9708036},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {172--193},
publisher = {Institute of Physics; Israel Physical Society},
series = {Annals of the Israel Physical Society},
title = {Non-Abelian Black Holes: The Inside Story},
year = {1998}
}
@inproceedings{breitenlohner97c,
address = {Singapore},
author = {Breitenlohner, P. and Lavrelashvili, G. and Maison, D.},
booktitle = {The Eighth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories},
conference = {Proceedings of the meeting held at the Hebrew University of Jerusalem, June 22\,--\,27, 1997},
editor = {Piran, T.},
eprint = {gr-qc/9711024},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
publisher = {World Scientific},
title = {Mass Inflation Inside Non-Abelian Black Holes},
year = {1999}
}
@article{brill59,
author = {Brill, D. R.},
doi = {10.1016/0003-4916(59)90055-7},
journal = {Ann. Phys. (N.Y.)},
keywords = {Brill waves, Gravitational waves},
pages = {466--483},
title = {On the Positive Definite Mass of the Bondi--Weber--Wheeler Time-Symmetric Gravitational Waves},
volume = {7},
year = {1959}
}
@newspaperarticle{browne97,
author = {Browne, M. W.},
day = {12},
keywords = {Cosmic censorship, Critical phenomena},
month = {February},
newspaper = {New York Times},
pages = {1},
title = {A Bet on a Cosmic Scale, And a Concession, Sort Of},
year = {1997}
}
@article{burd90,
author = {Burd, A. B. and Buric, N. and Ellis, G. F. R.},
doi = {10.1007/BF00756280},
journal = {Gen. Relativ. Gravit.},
keywords = {Mixmaster, Numerical relativity},
pages = {349--363},
title = {A Numerical Analysis of Chaotic Behavior in Bianchi IX Models},
volume = {22},
year = {1990}
}
@article{burko97a,
adsurl = {http://adsabs.harvard.edu/abs/1997PhRvL..79.4958B},
archiveprefix = {arXiv},
author = {Burko, L. M.},
doi = {10.1103/PhysRevLett.79.4958},
eprint = {gr-qc/9710112},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {4958--4961},
title = {Structure of the Black Hole's Cauchy-Horizon Singularity},
volume = {79},
year = {1997}
}
@inproceedings{burko97b,
address = {Bristol; Philadelphia; Jerusalem},
author = {Burko, L. M.},
booktitle = {Internal Structure of Black Holes and Spacetime Singularities},
conference = {An international research workshop, Haifa, June 29\,--\,July 3, 1997},
editor = {Burko, L. M. and Ori, A.},
eprint = {gr-qc/9711012},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
publisher = {Institute of Physics; Israel Physical Society},
series = {Annals of the Israel Physical Society},
title = {Homogeneous Spacelike Singularities Inside Spherical Black Holes},
year = {1998}
}
@article{burko97c,
adsurl = {http://adsabs.harvard.edu/abs/1997PhRvD..56.7820B},
archiveprefix = {arXiv},
author = {Burko, L. M. and Ori, A.},
doi = {10.1103/PhysRevD.56.7820},
eprint = {gr-qc/9703067},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {7820--7832},
title = {Late-time evolution of nonlinear gravitational collapse},
volume = {56},
year = {1997}
}
@article{burko97e,
author = {Burko, L. M. and Ori, A.},
eprint = {gr-qc/9711032},
journal = {Phys. Rev. D},
keywords = {Black holes, Singularities},
pages = {7084--7088},
title = {Analytic Study of the Null Singularity inside Spherical Charged Black Holes},
volume = {57},
year = {1998}
}
@article{burko98,
author = {Burko, L. M.},
eprint = {gr-qc/9803059},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Singularities},
pages = {084013},
title = {The Singularity in Supercritical Collapse of a Spherical Scalar Field},
volume = {58},
year = {1998}
}
@article{burko98a,
author = {Burko, L. M.},
eprint = {gr-qc/9809073},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Singularities},
pages = {024011},
title = {Singularity Deep inside the Charged Black Hole Core},
volume = {59},
year = {1999}
}
@article{carretero94,
author = {Carretero-Gonzalez, R. and Nunuz-Yepez, H. N. and Salas-Brito, A. L.},
doi = {10.1016/0375-9601(94)90115-5},
journal = {Phys. Lett. A},
keywords = {Mixmaster, Numerical relativity, Singularities},
pages = {48},
title = {Evidence of Chaotic Behavior in Jordan--Brans--Dicke Cosmology},
volume = {188},
year = {1994}
}
@inproceedings{chambers97a,
address = {Bristol; Philadelphia; Jerusalem},
author = {Chambers, C. M.},
booktitle = {Internal Structure of Black Holes and Spacetime Singularities},
conference = {An international research workshop, Haifa, June 29\,--\,July 3, 1997},
editor = {Burko, L. M. and Ori, A.},
eprint = {gr-qc/9709025},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
publisher = {Institute of Physics; Israel Physical Society},
series = {Annals of the Israel Physical Society},
title = {The Cauchy Horizon in Black Hole-de Sitter Spacetimes},
year = {1998}
}
@inproceedings{chambers97b,
address = {Singapore},
author = {Chambers, C. M. and Brady, P. R. and Gon{\c{c}}alves, S. M. C. V.},
booktitle = {The Eighth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories},
conference = {Proceedings of the meeting held at the Hebrew University of Jerusalem, June 22\,--\,27, 1997},
editor = {Piran, T.},
eprint = {gr-qc/9710014},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
publisher = {World Scientific},
title = {Phases of Massive Scalar Field Collapse},
year = {1999}
}
@inproceedings{chambers97c,
address = {Singapore},
author = {Chambers, C. M. and Brady, P. R. and Krivan, W. and Laguna, P.},
booktitle = {The Eighth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories},
conference = {Proceedings of the meeting held at the Hebrew University of Jerusalem, June 22\,--\,27, 1997},
editor = {Piran, T.},
eprint = {gr-qc/9710015},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
publisher = {World Scientific},
title = {Some Cosmological Tails of Collapse},
year = {1999}
}
@article{chandrasekhar82,
author = {Chandrasekhar, S. and Hartle, J. B.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Black holes, Cosmic censorship, Mathematical relativity, Singularities},
pages = {301--315},
title = {On Crossing the Cauchy Horizon of a Reissner--Nordstr\"om Black Hole},
volume = {384},
year = {1982}
}
@article{chernoff83,
author = {Chernoff, D. F. and Barrow, J. D.},
doi = {10.1103/PhysRevLett.50.134},
journal = {Phys. Rev. Lett.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {134--137},
title = {Chaos in the Mixmaster Universe},
volume = {50},
year = {1983}
}
@article{chiba94,
author = {Chiba, T. and Nakamura, T. and Nakao, K. and Sasaki, M.},
doi = {10.1088/0264-9381/11/2/014},
journal = {Class. Quantum Grav.},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
pages = {431--441},
title = {Hoop Conjecture for Apparent Horizon Formation},
volume = {11},
year = {1994}
}
@article{chiba99,
author = {Chiba, T.},
eprint = {gr-qc/9904054},
journal = {Phys. Rev. D},
keywords = {Hoop conjecture, Naked singularities, Numerical relativity},
note = {Erratum: Phys. Rev. D 60 (1999) 089902},
pages = {044003},
title = {Apparent Horizon Formation and Hoop Conjecture in Non-axisymmetric Spaces},
volume = {60},
year = {1999}
}
@article{choptuik93,
adsurl = {http://adsabs.harvard.edu/abs/1993PhRvL..70....9C},
author = {Choptuik, M. W.},
doi = {10.1103/PhysRevLett.70.9},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {9--12},
title = {Universality and scaling in gravitational collapse of a massless scalar field},
volume = {70},
year = {1993}
}
@article{choptuik96,
archiveprefix = {arXiv},
author = {Choptuik, M. W. and Chmaj, T. and Bizo{\'{n}}, P.},
doi = {10.1103/PhysRevLett.77.424},
eprint = {gr-qc/9603051},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {424--427},
title = {Critical Behavior in Gravitational Collapse of a Yang-Mills Field},
volume = {77},
year = {1996}
}
@online{choptuik99,
author = {Choptuik, M. W.},
cited = {20 June 2001},
format = {personal homepage},
keywords = {Critical phenomena, Numerical relativity},
publisher = {University of British Columbia},
title = {Animations of SU(2) EYM Collapse},
url = {http://laplace.physics.ubc.ca/People/matt/Movies/YM/},
year = {1999}
}
@article{christodoulou87,
author = {Christodoulou, D.},
doi = {10.1007/BF01208960},
journal = {Commun. Math. Phys.},
keywords = {Black holes, Gravitational collapse, Mathematical relativity},
pages = {613--647},
title = {A mathematical theory of gravitational collapse},
volume = {109},
year = {1987}
}
@article{christodoulou97,
author = {Christodoulou, D.},
doi = {10.2307/121023},
journal = {Ann. Math. (2)},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {183--217},
title = {The instability of naked singularities in the gravitational collapse of a scalar field},
volume = {149},
year = {1999}
}
@article{chrusciel90,
author = {Chru{\'{s}}ciel, P. T. and Isenberg, J. and Moncrief, V.},
doi = {10.1088/0264-9381/7/10/003},
journal = {Class. Quantum Grav.},
keywords = {Cosmic censorship, Inhomogeneous cosmology, Mathematical cosmology, Singularities},
pages = {1671--1680},
title = {Strong Cosmic Censorship in Polarized Gowdy Spacetimes},
volume = {7},
year = {1990}
}
@article{chrusciel90a,
author = {Chru{\'{s}}ciel, P. T.},
doi = {10.1016/0003-4916(90)90341-K},
journal = {Ann. Phys. (N.Y.)},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Singularities},
pages = {100--150},
title = {On Space-Times with $U(1)\times U(1)$ Symmetric Compact Cauchy Surfaces},
volume = {202},
year = {1990}
}
@article{coley01,
author = {Coley, A. A.},
doi = {10.1088/0264-9381/19/8/102},
eprint = {hep-th/0110117},
journal = {Class. Quantum Grav.},
keywords = {Homogeneous cosmology},
pages = {L45--L56},
title = {No chaos in brane-world cosmology},
volume = {19},
year = {2002}
}
@article{cornish97a,
author = {Cornish, N. J. and Levin, J. J.},
eprint = {gr-qc/9612066},
journal = {Phys. Rev. D},
keywords = {Mixmaster, Numerical cosmology},
pages = {7489--7510},
title = {Mixmaster universe: A chaotic Farey tale},
volume = {55},
year = {1997}
}
@article{cornish97b,
author = {Cornish, N. J. and Levin, J.},
doi = {10.1103/PhysRevLett.78.998},
eprint = {gr-qc/9605029},
journal = {Phys. Rev. Lett.},
keywords = {Mixmaster, Numerical relativity},
pages = {998--1001},
title = {The Mixmaster Universe is Chaotic},
volume = {78},
year = {1997}
}
@article{cotsakis93,
author = {Cotsakis, S. and Demaret, J. and DeRop, Y. and Querella, L.},
journal = {Phys. Rev. D},
keywords = {Mixmaster, Numerical relativity, Singularities},
pages = {4595--4603},
title = {Mixmaster Universe in Fourth-Order Gravity Theories},
volume = {48},
year = {1993}
}
@article{damour00a,
author = {Damour, T. and Henneaux, M.},
doi = {10.1103/PhysRevLett.85.920},
eprint = {hep-th/0003139},
journal = {Phys. Rev. Lett.},
keywords = {Mixmaster, String theory},
pages = {920--923},
title = {Chaos in superstring cosmology},
volume = {85},
year = {2000}
}
@article{damour00b,
author = {Damour, T. and Henneaux, M.},
eprint = {hep-th/0006171},
journal = {Phys. Lett. B},
keywords = {Mixmaster, String theory},
note = {Erratum: Phys. Lett. B 491 (2000) 377},
pages = {108--116},
title = {Oscillatory behaviour in homogeneous string cosmology models},
volume = {488},
year = {2000}
}
@article{deruelle95,
author = {Deruelle, N. and Langlois, D.},
eprint = {gr-qc/94110},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Singularities},
pages = {2007--2019},
title = {Long Wavelength Iteration of Einstein's Equations near a Spacetime Singularity},
volume = {52},
year = {1995}
}
@article{donets97,
author = {Donets, E. E. and Gal'tsov, D. V. and Zotov, M. Y.},
eprint = {gr-qc/9612067},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {3459--3465},
title = {Internal Structure of Einstein--Yang--Mills Black Holes},
volume = {56},
year = {1997}
}
@article{droz96,
author = {Droz, S.},
eprint = {gr-qc/9608034},
journal = {Helv. Phys. Acta},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {257--260},
title = {Numerical Investigation of Black Hole Interiors},
volume = {69},
year = {1996}
}
@article{eardley72,
author = {Eardley, D. M. and Liang, E. and Sachs, R.},
doi = {10.1063/1.1665859},
journal = {J. Math. Phys.},
keywords = {Mathematical cosmology, Singularities},
pages = {99--107},
title = {Velocity-Dominated Singularities in Irrotational Dust Cosmologies},
volume = {13},
year = {1972}
}
@article{eardley86,
author = {Eardley, D. M. and Isenberg, J. A. and Marsden, J. and Moncrief, V.},
doi = {10.1007/BF01210929},
journal = {Commun. Math. Phys.},
keywords = {General relativity},
pages = {137--158},
title = {Homothetic and Conformal Symmetries of Solutions to Einstein's Equations},
volume = {106},
year = {1986}
}
@article{eardley95,
author = {Eardley, D. M. and Hirschmann, E. W. and Horne, J. H.},
doi = {10.1103/PhysRevD.52.R5397},
eprint = {gr-qc/9505041},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {R5397--R5401},
title = {$S$ duality at the black hole threshold in gravitational collapse},
volume = {52},
year = {1995}
}
@article{echeverria93,
author = {Echeverria, F.},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
pages = {2271--2282},
title = {Gravitational Collapse of an Infinite, Cylindrical Dust Shell},
volume = {47},
year = {1993}
}
@article{ellis77,
author = {Ellis, G. F. R. and Schmidt, B. G.},
doi = {10.1007/BF00759240},
journal = {Gen. Relativ. Gravit.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {915--953},
title = {Singular Space-Times},
volume = {8},
year = {1977}
}
@article{evans94,
author = {Evans, C. R. and Coleman, J. S.},
doi = {10.1103/PhysRevLett.72.1782},
eprint = {gr-qc/9402041},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {1782--1785},
title = {Critical Phenomena and Self-Similarity in the Gravitational Collapse of Radiation Fluid},
volume = {72},
year = {1994}
}
@article{ferraz91,
author = {Ferraz, K. and Francisco, G. and Matsas, G. E. A.},
doi = {10.1016/0375-9601(91)90717-M},
journal = {Phys. Lett. A},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {407--409},
title = {Chaotic and Nonchaotic Behavior in the Mixmaster Dynamics},
volume = {156},
year = {1991}
}
@inproceedings{finn97,
address = {Singapore; River Edge, NJ},
author = {Finn, L. S.},
booktitle = {General Relativity and Gravitation},
conference = {Proceedings of the 14th International Conference on General Relativity and Gravitation: Florence, Italy, 6\,--\,12 August 1995},
editor = {Francaviglia, M. and Longhi, G. and Lusanna, L. and Sorace, E.},
eprint = {gr-qc/9603004},
keywords = {Numerical relativity},
pages = {147--166},
publisher = {World Scientific},
title = {A Numerical Approach to Binary Black Hole Coalescence},
year = {1997}
}
@article{fleck76,
author = {Fleck, J. A. and Morris, J. R. and Feit, M. D.},
doi = {10.1007/BF00896333},
journal = {Appl. Phys.},
keywords = {Symplectic numerical methods},
pages = {129--160},
title = {Time-Dependent Propagation of High Energy Laser Beams through the Atmosphere},
volume = {10},
year = {1976}
}
@article{francisco88,
author = {Francisco, G. and Matsas, G. E. A.},
doi = {10.1007/BF00759025},
journal = {Gen. Relativ. Gravit.},
keywords = {Mixmaster, Numerical relativity},
pages = {1047--1054},
title = {Qualitative and Numerical Study of Bianchi IX Models},
volume = {20},
year = {1988}
}
@article{Friedrich88,
author = {Friedrich, H.},
doi = {10.1007/BF01218260},
journal = {Commun. Math. Phys.},
keywords = {Mathematical relativity, Singularities},
pages = {51--73},
title = {On Static and Radiative Space-Times},
volume = {119},
year = {1988}
}
@article{galtsov97a,
author = {Gal'tsov, D. V. and Donets, E. E.},
doi = {10.1016/S1251-8069(99)80063-3},
eprint = {gr-qc/9706067},
journal = {C. R. Acad. Sci. Ser. IIB},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {649--657},
title = {Power-law mass inflation in Einstein--Yang--Mills--Higgs black holes},
volume = {325},
year = {1997}
}
@article{galtsov97b,
author = {Gal'tsov, D. V. and Donets, E. E. and Zotov, M. Y.},
eprint = {gr-qc/9706063},
journal = {JETP Lett.},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {895--901},
title = {Singularities Inside Non-Abelian Black Holes},
volume = {65},
year = {1997}
}
@inproceedings{galtsov97c,
address = {Singapore},
author = {Gal'tsov, D. V. and Donets, E. E. and Zotov, M. Y.},
booktitle = {The Eighth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories},
conference = {Proceedings of the meeting held at the Hebrew University of Jerusalem, June 22\,--\,27, 1997},
editor = {Piran, T.},
eprint = {gr-qc/9712003},
keywords = {Black holes, Singularities},
pages = {539--541},
publisher = {World Scientific},
title = {Singularities inside Hairy Black Holes},
year = {1999}
}
@article{garfinkle87,
author = {Garfinkle, D.},
doi = {10.1063/1.527805},
journal = {J. Math. Phys.},
keywords = {General relativity},
pages = {28--32},
title = {Asymptotically Flat Space-Times Have No Conformal Killing Fields},
volume = {28},
year = {1987}
}
@article{garfinkle95,
adsurl = {http://adsabs.harvard.edu/abs/1995PhRvD..51.5558G},
archiveprefix = {arXiv},
author = {Garfinkle, D.},
doi = {10.1103/PhysRevD.51.5558},
eprint = {gr-qc/9412008},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {5558--5561},
title = {Choptuik scaling in null coordinates},
volume = {51},
year = {1995}
}
@article{garfinkle97,
author = {Garfinkle, D.},
doi = {10.1103/PhysRevD.56.R3169},
eprint = {gr-qc/9612015},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity},
pages = {3169--3173},
title = {Choptuik scaling and the scale invariance of Einstein's equation},
volume = {56},
year = {1997}
}
@article{garfinkle98,
author = {Garfinkle, D. and Duncan, G. C.},
doi = {10.1103/PhysRevD.58.064024},
eid = {064024},
eprint = {gr-qc/9802061},
journal = {Phys. Rev. D},
keywords = {Critical phenomena, Numerical relativity},
pages = {1--4},
title = {Scaling of curvature in subcritical gravitational collapse},
volume = {58},
year = {1998}
}
@article{garfinkle98a,
author = {Garfinkle, D. and Meyer, K.},
doi = {10.1103/PhysRevD.59.064003},
eid = {064003},
eprint = {gr-qc/9806052},
journal = {Phys. Rev. D},
keywords = {Critical phenomena},
pages = {1--5},
title = {Scale invariance and critical gravitational collapse},
volume = {59},
year = {1999}
}
@article{garfinkle99,
author = {Garfinkle, D.},
eprint = {gr-qc/9906019},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical relativity},
pages = {104010},
title = {Numerical Simulations of Gowdy Spacetimes on $S^2 \times S^1 \times R$},
volume = {60},
year = {1999}
}
@article{garfinkle99a,
archiveprefix = {arXiv},
author = {Garfinkle, D. and Gundlach, C.},
doi = {10.1088/0264-9381/16/12/325},
eprint = {gr-qc/9908016},
journal = {Class. Quantum Grav.},
keywords = {Critical phenomena, Numerical relativity},
pages = {4111--4123},
primaryclass = {gr-qc},
title = {Symmetry-seeking spacetime coordinates},
volume = {16},
year = {1999}
}
@article{garfinkle00,
author = {Garfinkle, D.},
doi = {10.1103/PhysRevD.63.044007},
eid = {044007},
eprint = {gr-qc/0008023},
journal = {Phys. Rev. D},
keywords = {Critical phenomena, Numerical relativity},
pages = {1--5},
title = {Exact solution for (2+1)-dimensional critical collapse},
volume = {63},
year = {2001}
}
@article{garfinkle01a,
author = {Garfinkle, D. and Duncan, G. C.},
eid = {044011},
eprint = {gr-qc/0006073},
journal = {Phys. Rev. D},
keywords = {Hoop conjecture, Numerical relativity, Prolate collapse},
title = {Numerical Evolution of Brill Waves},
volume = {63},
year = {2001}
}
@article{garfinkle01b,
adsurl = {http://adsabs.harvard.edu/abs/2002PhRvD..65d4029G},
archiveprefix = {arXiv},
author = {Garfinkle, D.},
doi = {10.1103/PhysRevD.65.044029},
eid = {044029},
eprint = {gr-qc/0110013},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical relativity, Singularities},
primaryclass = {gr-qc},
title = {Harmonic coordinate method for simulating generic singularities},
volume = {65},
year = {2002}
}
@article{gentle97,
adsurl = {http://adsabs.harvard.edu/abs/1998CQGra..15..389G},
author = {Gentle, A. P. and Miller, W. A.},
doi = {10.1088/0264-9381/15/2/013},
journal = {Class. Quantum Grav.},
keywords = {Numerical cosmology, Numerical methods},
pages = {389--405},
title = {A fully (3+1)-dimensional Regge calculus model of the Kasner cosmology},
volume = {15},
year = {1965}
}
@article{gnedin93,
adsurl = {http://adsabs.harvard.edu/abs/1993CQGra..10.1083G},
author = {Gnedin, M. L. and Gnedin, N. Y.},
doi = {10.1088/0264-9381/10/6/006},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
pages = {1083--1102},
title = {Destruction of the Cauchy horizon in the Reissner--Nordstr\"om black hole},
volume = {10},
year = {1993}
}
@article{goldwirth87,
adsurl = {http://adsabs.harvard.edu/abs/1987PhRvD..36.3575G},
author = {Goldwirth, D. S. and Piran, T.},
doi = {10.1103/PhysRevD.36.3575},
journal = {Phys. Rev. D},
keywords = {Black holes, Gravitational collapse, Numerical relativity},
pages = {3575--3581},
title = {Gravitational collapse of massless scalar field and cosmic censorship},
volume = {36},
year = {1987}
}
@article{goncalves97,
author = {Gon{\c{c}}alves, S. M. C. V. and Moss, I. G.},
doi = {10.1088/0264-9381/14/9/015},
eprint = {gr-qc/9702059},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Critical phenomena},
pages = {2607--2615},
title = {Black Hole Formation from Massive Scalar Fields},
volume = {14},
year = {1997}
}
@article{gowdy71,
author = {Gowdy, R. H.},
doi = {10.1103/PhysRevLett.27.826},
journal = {Phys. Rev. Lett.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology},
pages = {826--829},
title = {Gravitational Waves in Closed Universes},
volume = {27},
year = {1971}
}
@article{grubisic93,
author = {Grubi{\v{s}}i{\'{c}}, B. and Moncrief, V.},
doi = {10.1103/PhysRevD.47.2371},
eprint = {gr-qc/9209006},
journal = {Phys. Rev. D},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Mathematical cosmology, Singularities},
pages = {2371--2382},
title = {Asymptotic behaviour of the $T^{3} \times R$ Gowdy space-times},
volume = {47},
year = {1993}
}
@article{grubisic94,
author = {Grubi{\v{s}}i{\'{c}}, B. and Moncrief, V.},
eprint = {gr-qc/9309007},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {2792--2800},
title = {Mixmaster Spacetime, Geroch's Transformation, and Constants of Motion},
volume = {49},
year = {1994}
}
@inproceedings{grubisic94a,
address = {Philadelphia},
author = {Grubi{\v{s}}i{\'{c}}, B.},
booktitle = {Proceedings of the Cornelius Lanczos International Centenary Conference},
conference = {Proceedings of the conference held in Raleigh, North Carolina, December 12\,--\,17, 1993},
editor = {Brown, J. D. and Chu, M. T. and Ellison, D. C. and Plemmons, R. J.},
eprint = {gr-qc/9404056},
keywords = {Inhomogeneous cosmology, Mathematical relativity, Mixmaster, Singularities},
publisher = {SIAM},
title = {Velocity Dominance near a Crushing Singularity},
year = {1994}
}
@article{gundlach95,
author = {Gundlach, C.},
doi = {10.1103/PhysRevLett.75.3214},
eprint = {gr-qc/9507054},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity},
pages = {3214--3217},
title = {The Choptuik Spacetime as an Eigenvalue Problem},
volume = {75},
year = {1995}
}
@inproceedings{gundlach96a,
address = {Warsaw},
author = {Gundlach, C.},
booktitle = {Mathematics of Gravitation, Part I: Lorentzian Geometry and Einstein Equations},
conference = {Proceedings of the Workshop on Mathematical Aspects of Theories of Gravitation, held in Warsaw, Poland, February 29\,--\,March 30, 1996},
editor = {Chru{\'{s}}ciel, P. T.},
eprint = {gr-qc/9606023},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity, Numerical relativity},
pages = {143--152},
publisher = {Polish Academy of Sciences, Institute of Mathematics},
series = {Banach Center Publications},
title = {Critical phenomena in gravitational collapse},
volume = {41},
year = {1997}
}
@article{gundlach96b,
author = {Gundlach, C. and Mart{\'{\i}}n-Garc{\'{\i}}a, J. M.},
doi = {10.1103/PhysRevD.54.7353},
eprint = {gr-qc/9606072},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity, Numerical relativity},
pages = {7353--7360},
title = {Charge scaling and universality in critical collapse},
volume = {54},
year = {1996}
}
@article{gundlach97a,
author = {Gundlach, C.},
doi = {10.1103/PhysRevD.57.7075},
eprint = {gr-qc/9710066},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity, Numerical relativity},
pages = {7075--7079},
title = {Nonspherical perturbations of critical collapse and cosmic censorship},
volume = {57},
year = {1998}
}
@article{gundlach97b,
author = {Gundlach, C.},
doi = {10.1103/PhysRevD.55.6002},
eprint = {gr-qc/9610069},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity, Numerical relativity},
pages = {6002--6013},
title = {Echoing and scaling in Einstein-Yang-Mills critical collapse},
volume = {55},
year = {1997}
}
@article{gundlach97c,
author = {Gundlach, C.},
doi = {10.1103/PhysRevD.55.695},
eprint = {gr-qc/9604019},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity, Numerical relativity},
pages = {695--713},
title = {Understanding critical collapse of a scalar field},
volume = {55},
year = {1997}
}
@article{gundlach98,
author = {Gundlach, C.},
eprint = {gr-qc/9712084},
journal = {Adv. Theor. Math. Phys.},
keywords = {Critical phenomena},
pages = {1--49},
title = {Critical phenomena in gravitational collapse},
volume = {2},
year = {1998}
}
@article{gundlach99,
author = {Gundlach, C.},
cited = {28 May 2001},
eid = {lrr-1999-4},
journal = {Living Rev. Relativity},
keywords = {Critical phenomena},
title = {Critical Phenomena in Gravitational Collapse},
url = {http://www.livingreviews.org/lrr-1999-4},
volume = {2},
year = {1999}
}
@article{halpern87,
author = {Halpern, P.},
doi = {10.1007/BF01119812},
journal = {Gen. Relativ. Gravit.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {73--94},
title = {Chaos in the Long-Term Behavior of Some Bianchi-type VIII Models},
volume = {19},
year = {1987}
}
@article{hamade96a,
adsurl = {http://adsabs.harvard.edu/abs/1996CQGra..13.2241H},
archiveprefix = {arXiv},
author = {Hamad{\'{e}}, R. S. and Horne, J. H. and Stewart, J. M.},
doi = {10.1088/0264-9381/13/8/017},
eprint = {gr-qc/9511024},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {2241--2253},
title = {Continuous self-similarity and $S$-duality},
volume = {13},
year = {1996}
}
@article{hamade96b,
adsurl = {http://adsabs.harvard.edu/abs/1996CQGra..13..497H},
archiveprefix = {arXiv},
author = {Hamad{\'{e}}, R. S. and Stewart, J. M.},
doi = {10.1088/0264-9381/13/3/014},
eprint = {gr-qc/9506044},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {497--512},
title = {The spherically symmetric collapse of a massless scalar field},
volume = {13},
year = {1996}
}
@preprint{hara96,
author = {Hara, T. and Koike, T. and Adachi, S.},
eprint = {gr-qc/9607010},
format = {arxiv},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity},
title = {Renormalization group and critical behavior in gravitational collapse},
year = {1996}
}
@article{harada00a,
author = {Harada, T. and Iguchi, H. and Nakao, K.},
eid = {101502},
eprint = {gr-qc/0003036},
journal = {Phys. Rev. D},
keywords = {Gravitational waves, Naked singularities},
title = {Naked Singularity Explosion},
volume = {61},
year = {2000}
}
@article{harada00b,
author = {Harada, T. and Iguchi, H. and Nakao, K.},
eprint = {gr-qc/0005114},
journal = {Phys. Rev. D},
keywords = {Gravitational waves, Naked singularities},
pages = {084037},
title = {Power, Energy, and Spectrum of a Naked Singularity Explosion},
volume = {62},
year = {2000}
}
@article{hawking67,
adsurl = {http://adsabs.harvard.edu/abs/1967RSPSA.300..187H},
author = {Hawking, S. W.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Mathematical relativity, Singularities},
pages = {187--201},
title = {The Occurrence of singularities in cosmology. III. Causality and singularities},
volume = {300},
year = {1967}
}
@article{hawking70,
adsurl = {http://adsabs.harvard.edu/abs/1970RSPSA.314..529H},
author = {Hawking, S. W. and Penrose, R.},
doi = {10.1098/rspa.1970.0021},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Mathematical relativity, Singularities},
pages = {529--548},
title = {The Singularities of Gravitational Collapse and Cosmology},
volume = {314},
year = {1970}
}
@book{hawking73,
address = {Cambridge},
author = {Hawking, S. W. and Ellis, G. F. R.},
gbs_id = {QagG{\_}KI7Ll8C},
keywords = {Mathematical relativity, Singularities},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {The Large Scale Structure of Space-Time},
year = {1973}
}
@article{hern97,
author = {Hern, S. D. and Stewart, J. M.},
doi = {10.1088/0264-9381/15/6/014},
eprint = {gr-qc/9708038},
journal = {Class. Quantum Grav.},
keywords = {Gowdy spacetime, Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {1581--1593},
title = {The Gowdy T3 Cosmologies Revisited},
volume = {15},
year = {1998}
}
@phdthesis{hern00,
address = {Cambridge},
author = {Hern, S. D.},
eprint = {gr-qc/0004036},
format = {phd},
keywords = {Gowdy models, Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Numerical relativity},
school = {Cambridge University},
title = {Numerical Relativity and Inhomogeneous Cosmologies},
year = {2000}
}
@article{hirschmann95a,
author = {Hirschmann, E. W. and Eardley, D. M.},
doi = {10.1103/PhysRevD.52.5850},
eprint = {gr-qc/9506078},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity},
pages = {5850--5856},
title = {Critical exponents and stability at the black hole threshold for a complex scalar field},
volume = {52},
year = {1995}
}
@article{hirschmann95b,
author = {Hirschmann, E. W. and Eardley, D. M.},
doi = {10.1103/PhysRevD.51.4198},
eprint = {gr-qc/9412066},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {4198--4207},
title = {Universal scaling and echoing in gravitational collapse of a complex scalar field},
volume = {51},
year = {1995}
}
@article{hirschmann97,
author = {Hirschmann, E. W. and Eardley, D. M.},
doi = {10.1103/PhysRevD.56.4696},
eprint = {gr-qc/9511052},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {4696--4705},
title = {Criticality and bifurcation in the gravitational collapse of a self-coupled scalar field},
volume = {56},
year = {1997}
}
@article{hobill91,
author = {Hobill, D. W. and Bernstein, D. H. and Welge, M. and Simkins, D.},
doi = {10.1088/0264-9381/8/6/013},
journal = {Class. Quantum Grav.},
keywords = {Mixmaster, Numerical relativity},
pages = {1155--1171},
title = {The Mixmaster cosmology as a dynamical system},
volume = {8},
year = {1991}
}
@proceedings{hobill94,
address = {New York},
conference = {Proceedings of the NATO Advanced Research Workshop, held July 25\,--\,30, 1993, in Kananaskis, Alberta, Canada},
editor = {Hobill, D. W. and Burd, A. and Coley, A. A.},
keywords = {Mathematical relativity, Mixmaster, Numerical relativity, Singularities},
publisher = {Plenum},
title = {Deterministic Chaos in General Relativity},
year = {1994}
}
@misc{hobill01,
author = {Hobill, D. W. and Webster, P. S.},
format = {personal communication},
keywords = {Cosmic censorship, Hoop conjecture, Numerical relativity},
note = {Talk presented at GR16 and private communication},
title = {Trapped Surface Structure in Brill Wave Evolution}
}
@article{hod97a,
adsurl = {http://adsabs.harvard.edu/abs/1997PhRvD..55.3485H},
archiveprefix = {arXiv},
author = {Hod, S. and Piran, T.},
doi = {10.1103/PhysRevD.55.3485},
eprint = {gr-qc/9606093},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {3485--3496},
title = {Critical behavior and universality in gravitational collapse of a charged scalar field},
volume = {55},
year = {1997}
}
@article{hod97b,
author = {Hod, S. and Piran, T.},
doi = {10.1103/PhysRevD.55.R440},
eprint = {gr-qc/9606087},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Numerical relativity},
pages = {440--442},
title = {Fine-structure of Choptuik's mass-scaling relation},
volume = {55},
year = {1997}
}
@article{hod98,
adsurl = {http://adsabs.harvard.edu/abs/1998PhRvL..81.1554H},
archiveprefix = {arXiv},
author = {Hod, S. and Piran, T.},
doi = {10.1103/PhysRevLett.81.1554},
eprint = {gr-qc/9803004},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Gravitational collapse, Numerical relativity},
pages = {1554--1557},
title = {Mass Inflation in Dynamical Gravitational Collapse of a Charged Scalar Field},
volume = {81},
year = {1998}
}
@article{hod99,
author = {Hod, S. and Piran, T.},
doi = {10.1023/A:1026654519980},
eprint = {gr-qc/9902008},
journal = {Gen. Relativ. Gravit.},
keywords = {Black holes, Cosmic censorship, Gravitational collapse, Numerical relativity},
pages = {1555--1562},
title = {The Inner Structure of Black Holes},
volume = {30},
year = {1998}
}
@article{hod00,
author = {Hod, S.},
doi = {10.1103/PhysRevLett.84.10},
eprint = {gr-qc/9907096},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Gravitational collapse},
pages = {10--13},
title = {Radiative Tail of Realistic Rotating Gravitational Collapse},
volume = {84},
year = {2000}
}
@article{huebner96a,
author = {H{\"{u}}bner, P.},
eprint = {gr-qc/940902},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
number = {2},
pages = {701--721},
title = {Method for calculating the global structure of (singular) spacetimes},
volume = {53},
year = {1994}
}
@article{huebner96b,
author = {H{\"{u}}bner, P.},
journal = {Helv. Phys. Acta},
keywords = {Numerical relativity, Singularities},
pages = {316--320},
title = {Numerical approach to the global structure of space-time},
volume = {69},
year = {1996}
}
@article{huebner98,
author = {H{\"{u}}bner, P.},
eprint = {gr-qc/9804065},
journal = {Class. Quantum Grav.},
keywords = {Numerical relativity},
number = {7},
pages = {2145--2164},
title = {How to avoid artificial boundaries in the numerical calculation of black hole space-times},
volume = {16},
year = {1999}
}
@article{husa00,
adsurl = {http://adsabs.harvard.edu/abs/2000PhRvD..62j4007H},
archiveprefix = {arXiv},
author = {Husa, S. and Lechner, C. and P{\"{u}}rrer, M. and Thornburg, J. and Aichelburg, P. C.},
doi = {10.1103/PhysRevD.62.104007},
eid = {104007},
eprint = {gr-qc/0002067},
journal = {Phys. Rev. D},
keywords = {Critical phenomena, Nonlinear sigma model, Numerical relativity, Wave maps},
numpages = {11},
title = {Type II critical collapse of a self-gravitating nonlinear $\sigma$ model},
volume = {62},
year = {2000}
}
@article{iguchi97,
author = {Iguchi, O. and Hosoya, A. and Koike, T.},
eprint = {gr-qc/9709042},
journal = {Phys. Rev. D},
keywords = {Critical phenomena},
pages = {3340--3350},
title = {Renormalization Group Approach to the Einstein Equation in Cosmology},
volume = {57},
year = {1998}
}
@article{iguchi98,
author = {Iguchi, H. and Nakao, K. and Harada, T.},
eprint = {gr-qc/9804015},
journal = {Phys. Rev. D},
keywords = {Naked singularities},
pages = {7262--7273},
title = {Gravitational Waves around a Naked Singularity: Odd-Parity Perturbation of Lema\^\i tre--Tolman--Bondi Space-Time},
volume = {57},
year = {1998}
}
@article{iguchi99,
author = {Iguchi, H. and Nakao, K. and Harada, T.},
eprint = {gr-qc/9911063},
journal = {Prog. Theor. Phys.},
keywords = {Naked singularities},
pages = {53--72},
title = {Gravitational Waves around a Naked Singularity. II --- Even-Parity Perturbation ---},
volume = {103},
year = {2000}
}
@article{iguchi01,
author = {Iguchi, H. and Harada, T.},
doi = {10.1088/0264-9381/18/17/319},
eprint = {gr-qc/0107099},
journal = {Class. Quantum Grav.},
keywords = {Naked singularities},
pages = {3681--3700},
title = {Physical Aspects of Naked Singularity Explosion: How Does a Naked Singularity Explode?},
volume = {18},
year = {2001}
}
@article{isenberg90,
author = {Isenberg, J. and Moncrief, V.},
doi = {10.1016/0003-4916(90)90369-Y},
journal = {Ann. Phys. (N.Y.)},
keywords = {Gowdy spacetime, Mathematical cosmology, Singularities},
pages = {84--122},
title = {Asymptotic behavior of the gravitational field and the nature of singularities in Gowdy spacetimes},
volume = {199},
year = {1990}
}
@article{isenberg98,
author = {Isenberg, J. and Kichenassamy, S.},
doi = {10.1063/1.532775},
journal = {J. Math. Phys.},
keywords = {Inhomogeneous cosmology, Singularities},
pages = {340--352},
title = {Asymptotic behavior in polarized $T^{2}$-symmetric vacuum space-times},
volume = {40},
year = {1999}
}
@article{isenberg00,
author = {Isenberg, J. A. and Moncrief, V.},
doi = {10.1088/0264-9381/19/21/305},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Singularities},
pages = {5361--5386},
title = {Asymptotic behavior of polarized and half-polarized $U(1)$ symmetric vacuum spacetimes},
volume = {19},
year = {2002}
}
@article{israel86a,
author = {Israel, W.},
journal = {Can. J. Phys.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {120--127},
title = {The Formation of Black Holes in Nonspherical Collapse and Cosmic Censorship},
volume = {64},
year = {1986}
}
@article{israel86b,
author = {Israel, W.},
doi = {10.1103/PhysRevLett.56.789},
journal = {Phys. Rev. Lett.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {789--791},
title = {Must Nonspherical Collapse Produce Black Holes? A Gravitational Confinement Theorem},
volume = {56},
year = {1986}
}
@article{jantzen86,
author = {Jantzen, R. T.},
journal = {Phys. Rev. D},
keywords = {Mathematical cosmology, Mixmaster},
pages = {2121--2135},
title = {Finite-Dimensional Einstein--Maxwell--Scalar Field System},
volume = {33},
year = {1986}
}
@inproceedings{jantzen01,
address = {Amsterdam; New York},
author = {Jantzen, R. T.},
booktitle = {Gamow Cosmology},
conference = {Proceedings of the International School of Physics `Enrico Fermi', Course 86, Varenna, Italy, 13\,--\,23 July 1982},
editor = {Ruffini, R. and Melchiorri, F.},
eprint = {gr-qc/0102035},
keywords = {Mathematical cosmology, Mixmaster},
pages = {61--147},
publisher = {North-Holland; Elsevier},
title = {Spatially Homogeneous Dynamics: A Unified Picture},
year = {1986}
}
@newspaperarticle{johnson97,
author = {Johnson, G.},
day = {16},
keywords = {Cosmic censorship, Critical phenomena},
month = {February},
newspaper = {New York Times},
pages = {4},
title = {What a Physicist Finds Obscene},
year = {1997}
}
@article{kasner25,
author = {Kasner, E.},
doi = {10.2307/1989060},
journal = {Trans. Amer. Math. Soc.},
keywords = {Mathematical cosmology},
pages = {155--162},
title = {Solutions of the Einstein Equations Involving Functions of Only One Variable},
volume = {27},
year = {1925}
}
@article{khalatnikov85,
author = {Khalatnikov, I. M. and Lifshitz, E. M. and Khanin, K. M. and Shchur, L. N. and Sinai, Y. G.},
doi = {10.1007/BF01017851},
journal = {J. Stat. Phys.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {97--114},
title = {On the Stochasticity in Relativistic Cosmology},
volume = {38},
year = {1985}
}
@article{kichenassamy98,
author = {Kichenassamy, S. and Rendall, A. D.},
doi = {10.1088/0264-9381/15/5/016},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Singularities},
pages = {1339--1355},
title = {Analytic description of singularities in Gowdy spacetimes},
volume = {15},
year = {1998}
}
@article{kirillov87,
author = {Kirillov, A. A. and Kochnev, A. A.},
journal = {JETP Lett.},
keywords = {Inhomogeneous cosmology, Mathematical relativity, Mixmaster, Singularities},
pages = {435--438},
title = {Cellular Structure of Space near a Singularity in Time in Einstein's Equations},
volume = {46},
year = {1987}
}
@article{kirillov93,
author = {Kirillov, A. A.},
journal = {J. Exp. Theor. Phys.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {355--358},
title = {The Nature of the Spatial Distribution of Metric Inhomogeneities in the General Solution of the Einstein Equations near a Cosmological Singularity},
volume = {76},
year = {1993}
}
@article{koike95,
author = {Koike, T. and Hara, T. and Adachi, S.},
doi = {10.1103/PhysRevLett.74.5170},
eprint = {gr-qc/9503007},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity},
pages = {5170--5173},
title = {Critical Behavior in Gravitational Collapse of Radiation Fluid: A Renormalization Group (Linear Perturbation) Analysis},
volume = {74},
year = {1995}
}
@article{leblanc95,
author = {LeBlanc, V. G. and Kerr, D. and Wainwright, J.},
doi = {10.1088/0264-9381/12/2/020},
journal = {Class. Quantum Grav.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {513--541},
title = {Asymptotic states of magnetic Bianchi VI${}_0$ cosmologies},
volume = {12},
year = {1995}
}
@article{leblanc97,
author = {LeBlanc, V. G.},
doi = {10.1088/0264-9381/14/8/025},
journal = {Class. Quantum Grav.},
keywords = {Mathematical cosmology, Mixmaster, Singularities},
pages = {2281--2301},
title = {Asymptotic states of magnetic Bianchi I cosmologies},
volume = {14},
year = {1997}
}
@article{libson96,
author = {Libson, J. and Mass{\'{o}}, J. and Seidel, E. and Suen, W.-M. and Walker, P.},
eprint = {gr-qc/9412068},
journal = {Phys. Rev. D},
keywords = {Numerical methods, Numerical relativity},
pages = {4335--4350},
title = {Event horizons in numerical relativity: Methods and tests},
volume = {53},
year = {1996}
}
@article{liebling99,
author = {Liebling, S. L. and Hirschmann, E. W. and Isenberg, J. A.},
doi = {10.1063/1.533432},
eprint = {math-ph/9911020},
journal = {J. Math. Phys.},
keywords = {Critical phenomena, Nonlinear sigma model, Numerical relativity, Wave maps},
number = {8},
pages = {5691--5700},
title = {Critical phenomena in nonlinear sigma models},
volume = {41},
year = {2000}
}
@inproceedings{ma94,
address = {New York},
author = {Ma, P. K.-H. and Wainwright, J.},
booktitle = {Deterministic Chaos in General Relativity},
conference = {Proceedings of the NATO Advanced Research Workshop, held July 25\,--\,30, 1993, in Kananaskis, Alberta, Canada},
editor = {Hobill, D. W. and Burd, A. and Coley, A. A.},
keywords = {Mathematical cosmology, Mixmaster, Numerical cosmology, Singularities},
publisher = {Plenum},
series = {NATO ASI Series B},
title = {A Dynamical Systems Approach to the Oscillatory Singularity in Bianchi Cosmologies},
volume = {332},
year = {1994}
}
@incollection{maccallum79,
address = {Cambridge; New York},
author = {MacCallum, M. A. H.},
booktitle = {General Relativity: An Einstein Centenary Survey},
editor = {Hawking, S. W. and Israel, W.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster},
publisher = {Cambridge University Press},
title = {Anisotropic and Inhomogeneous Relativistic Cosmologies},
year = {1979}
}
@article{maison95,
author = {Maison, D.},
doi = {10.1016/0370-2693(95)01381-4},
eprint = {gr-qc/9504008},
journal = {Phys. Lett. B},
keywords = {Black holes, Cosmic censorship, Critical phenomena, Gravitational collapse, Mathematical relativity},
pages = {82--84},
title = {Non-universality of critical behaviour in spherically symmetric gravitational collapse},
volume = {366},
year = {1996}
}
@article{masso98,
author = {Mass{\'{o}}, J. and Seidel, E. and Suen, W.-M. and Walker, P.},
eprint = {gr-qc/9804059},
journal = {Phys. Rev. D},
keywords = {Numerical relativity},
pages = {064015},
title = {Event Horizons in Numerical Relativity II: Analyzing the Horizon},
volume = {59},
year = {1999}
}
@article{mellor90,
author = {Mellor, F. and Moss, I. G.},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Singularities},
pages = {403--409},
title = {Stability of black holes in de Sitter space},
volume = {41},
year = {1990}
}
@article{mellor92,
author = {Mellor, F. and Moss, I. G.},
doi = {10.1088/0264-9381/9/4/001},
journal = {Class. Quantum Grav.},
keywords = {Black holes},
pages = {L43--L46},
title = {A Reassessment of the Stability of the Cauchy Horizon in de Sitter Space},
volume = {9},
year = {1992}
}
@article{misner69,
author = {Misner, C. W.},
doi = {10.1103/PhysRevLett.22.1071},
journal = {Phys. Rev. Lett.},
keywords = {Mathematical cosmology, Mixmaster, Singularities},
pages = {1071--1074},
title = {Mixmaster Universe},
volume = {22},
year = {1969}
}
@article{moncrief81,
author = {Moncrief, V.},
doi = {10.1016/0003-4916(81)90270-0},
journal = {Ann. Phys. (N.Y.)},
keywords = {Cosmic censorship, Gowdy spacetime, Mathematical cosmology},
pages = {87--107},
title = {Global Properties of Gowdy Spacetimes with $T^{3} \times R$ Topology},
volume = {132},
year = {1981}
}
@article{moncrief83,
author = {Moncrief, V.},
journal = {Phys. Rev. D},
keywords = {Symplectic numerical methods},
pages = {2485--2490},
title = {Finite-Difference Approach to Solving Operator Equations of Motion in Quantum Theory},
volume = {28},
year = {1983}
}
@article{moncrief86,
author = {Moncrief, V.},
doi = {10.1016/S0003-4916(86)80009-4},
journal = {Ann. Phys. (N.Y.)},
keywords = {Inhomogeneous cosmology, Mathematical cosmology},
pages = {118--142},
title = {Reduction of Einstein's equations for vacuum space-times with spacelike $U(1)$ isometry groups},
volume = {167},
year = {1986}
}
@inproceedings{moncrief97,
address = {Singapore; River Edge, NJ},
author = {Moncrief, V.},
booktitle = {General Relativity and Gravitation},
conference = {Proceedings of the 14th International Conference on General Relativity and Gravitation: Florence, Italy, 6\,--\,12 August 1995},
editor = {Francaviglia, M. and Longhi, G. and Lusanna, L. and Sorace, E.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {259--276},
publisher = {World Scientific},
title = {Spacetime Singularities and Cosmic Censorship},
year = {1997}
}
@article{montani95,
author = {Montani, G.},
doi = {10.1088/0264-9381/12/10/010},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Mixmaster, Singularities},
pages = {2505--2517},
title = {On the General Behavior of the Universe near the Cosmological Singularity},
volume = {12},
year = {1995}
}
@article{moser73,
author = {Moser, A. A. and Matzner, R. A. and Ryan Jr, M. P.},
doi = {10.1016/0003-4916(73)90097-3},
journal = {Ann. Phys. (N.Y.)},
keywords = {Mixmaster, Numerical relativity},
pages = {558--579},
title = {Numerical Solutions for Symmetric Bianchi Type IX Universes},
volume = {79},
year = {1973}
}
@article{motter01,
author = {Motter, A. E. and Letelier, P. S.},
doi = {10.1016/S0375-9601(01)00349-8},
eprint = {gr-qc/0011001},
journal = {Phys. Lett. A},
keywords = {Chaos, Homogeneous cosmology, Mixmaster},
pages = {127--131},
title = {Mixmaster Chaos},
volume = {285},
year = {2001}
}
@article{nakamura82,
adsurl = {http://adsabs.harvard.edu/abs/1982PThPh..67.1396N},
author = {Nakamura, T. and Sato, H.},
doi = {10.1143/PTP.67.1396},
journal = {Prog. Theor. Phys.},
keywords = {Cosmic censorship, Gravitational collapse, Singularities},
pages = {1396--1405},
title = {General Relativistic Collapse of Non-Rotating, Axisymmetric Stars},
volume = {67},
year = {1982}
}
@article{nakamura88,
author = {Nakamura, T. and Shapiro, S. L. and Teukolsky, S. A.},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {2972--2978},
title = {Naked Singularities and the Hoop Conjecture: An Analytic Exploration},
volume = {38},
year = {1988}
}
@article{nakamura93,
author = {Nakamura, T. and Shibata, M. and Nakao, K.},
doi = {10.1143/PTP.89.821},
journal = {Prog. Theor. Phys.},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
pages = {821--831},
title = {Naked Singularity Dries Up?},
volume = {89},
year = {1993}
}
@article{nakao00,
author = {Nakao, K. and Iguchi, H. and Harada, T.},
eprint = {astro-ph/0006057},
journal = {Phys. Rev. D},
keywords = {Gravitational waves, Naked singularities},
pages = {084003},
title = {Newtonian Analysis of Gravitational Waves from Naked Singularity},
volume = {63},
year = {2001}
}
@article{niemeyer97,
author = {Niemeyer, J. C. and Jedamzik, K.},
doi = {10.1103/PhysRevLett.80.5481},
eprint = {gr-qc/9709072},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Cosmology, Critical phenomena},
pages = {5481--5484},
title = {Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes},
volume = {80},
year = {1998}
}
@unpublished{norton92,
author = {Norton, A. H.},
format = {unknown},
keywords = {Numerical methods},
note = {University of New South Wales Preprint},
title = {Finite Difference Operators for PDE's Based on Sampling Kernels for Spline Quasi-Interpolation},
year = {1992}
}
@mastersthesis{olabarrieta00,
address = {Vancouver},
author = {Olabarrieta, I.},
eprint = {gr-qc/0012059},
format = {ma},
keywords = {Critical phenomena, Einstein-Vlasov system},
school = {Uinversity of British Columbia},
title = {Critical Collapse of Collisionless Matter in Spherical Symmetry},
year = {2000}
}
@article{ori91,
author = {Ori, A.},
doi = {10.1103/PhysRevLett.67.789},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Mathematical relativity, Singularities},
pages = {789--792},
title = {Inner Structure of a Charged Black Hole: An Exact Mass-Inflation Solution},
volume = {67},
year = {1991}
}
@article{ori92,
author = {Ori, A.},
doi = {10.1103/PhysRevLett.68.2117},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Mathematical relativity, Singularities},
pages = {2117--2120},
title = {Structure of the Singularity inside a Realistic Black Hole},
volume = {68},
year = {1992}
}
@article{ori98,
author = {Ori, A.},
eprint = {gr-qc/9801086},
journal = {Phys. Rev. D},
keywords = {Singularities},
pages = {4745--4753},
title = {Null Weak Singularities in Plane-Symmetric Spacetimes},
volume = {57},
year = {1998}
}
@article{ori99a,
author = {Ori, A.},
doi = {10.1103/PhysRevLett.83.5423},
eprint = {gr-qc/0103012},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Singularities},
pages = {5423--5426},
title = {Oscillatory Null Singularity inside Realistic Spinning Black Holes},
volume = {83},
year = {1999}
}
@article{ori99b,
author = {Ori, A.},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Singularities},
pages = {024001},
title = {Evolution of Linear Gravitational and Electromagnetic Perturbations inside a Kerr Black Hole},
volume = {61},
year = {1999}
}
@article{ove90,
author = {Ove, R.},
doi = {10.1103/PhysRevLett.64.1200},
journal = {Phys. Rev. Lett.},
keywords = {Inhomogeneous cosmology, Numerical methods, Numerical relativity},
pages = {1200--1203},
title = {Nonlinear Gravitational Effect},
volume = {64},
year = {1990}
}
@article{pelath98,
author = {Pelath, M. A. and Tod, K. P. and Wald, R. M.},
doi = {10.1088/0264-9381/15/12/018},
eprint = {gr-qc/9805051},
journal = {Class. Quantum Grav.},
keywords = {Cosmic censorship, Hoop conjecture},
pages = {3917--3934},
title = {Trapped surfaces in prolate collapse in the Gibbons--Penrose construction},
volume = {15},
year = {1998}
}
@article{penrose69,
adsurl = {http://adsabs.harvard.edu/abs/1969NCimR...1..252P},
author = {Penrose, R.},
journal = {Riv. Nuovo Cimento},
keywords = {Mathematical relativity, Singularities, Cosmic censorship},
pages = {252--276},
title = {Gravitational Collapse: The Role of General Relativity},
volume = {1},
year = {1969}
}
@incollection{penrose79,
address = {Cambridge; New York},
author = {Penrose, R.},
booktitle = {General Relativity: An Einstein Centenary Survey},
editor = {Hawking, S. W. and Israel, W.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {581--638},
publisher = {Cambridge University Press},
title = {Singularities and Time-Asymmetry},
volume = {1},
year = {1979}
}
@article{poisson89,
author = {Poisson, E. and Israel, W.},
doi = {10.1103/PhysRevLett.63.1663},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Cosmic censorship, Mathematical relativity, Singularities},
pages = {1663--1666},
title = {Inner-Horizon Instability and Mass Inflation in Black Holes},
volume = {63},
year = {1989}
}
@article{poisson90,
adsurl = {http://adsabs.harvard.edu/abs/1990PhRvD..41.1796P},
author = {Poisson, E. and Israel, W.},
doi = {10.1103/PhysRevD.41.1796},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmic censorship, Mathematical relativity, Singularities},
pages = {1796--1809},
title = {Internal structure of black holes},
volume = {41},
year = {1990}
}
@inproceedings{poisson97,
address = {Bristol; Philadelphia; Jerusalem},
author = {Poisson, E.},
booktitle = {Internal Structure of Black Holes and Spacetime Singularities},
conference = {An international research workshop, Haifa, June 29\,--\,July 3, 1997},
editor = {Burko, L. M. and Ori, A.},
eprint = {gr-qc/9709022},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
publisher = {Institute of Physics; Israel Physical Society},
series = {Annals of the Israel Physical Society},
title = {Black-Hole Interiors and Strong Cosmic Censorship},
volume = {13},
year = {1998}
}
@book{press92,
address = {Cambridge; New York},
adsurl = {http://adsabs.harvard.edu/abs/1992nrfa.book.....P},
author = {Press, W. H. and Teukolsky, S. A. and Vetterling, W. T. and Flannery, B. P.},
edition = {2nd},
keywords = {Numerical methods},
publisher = {Cambridge University Press},
title = {Numerical Recipes in FORTRAN: The Art of Scientific Computing},
year = {1992}
}
@article{pretorius00,
author = {Pretorius, F. and Choptuik, M. W.},
doi = {10.1103/PhysRevD.62.124012},
eid = {124012},
eprint = {gr-qc/0007008},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Critical phenomena, Numerical relativity},
pages = {1--15},
title = {Gravitational collapse in 2+1 dimensional AdS spacetime},
volume = {62},
year = {2000}
}
@inproceedings{pullin91,
address = {Singapore},
author = {Pullin, J.},
booktitle = {Relativity and Gravitation: Classical and Quantum},
conference = {Proceedings of SILARG VII, the 7th Latin-American Symposium on Relativity and Gravitation, Cocoyoc, Mexico, December 1990},
editor = {D'Olivo, J. C. and Nahmad, E. and Ryan, M.},
keywords = {Mixmaster, Numerical relativity},
publisher = {World Scientific},
title = {Time and Chaos in General Relativity},
year = {1991}
}
@article{rein98,
author = {Rein, G. and Rendall, A. D. and Schaeffer, J.},
doi = {10.1103/PhysRevD.58.044007},
eid = {044007},
eprint = {gr-qc/9804040},
journal = {Phys. Rev. D},
keywords = {Critical phenomena, Numerical relativity},
pages = {1--8},
title = {Critical collapse of collisionless matter: A numerical investigation},
volume = {58},
year = {1998}
}
@inproceedings{rendall97a,
address = {Singapore; River Edge, NJ},
author = {Rendall, A. D.},
booktitle = {General Relativity and Gravitation},
conference = {Proceedings of the 14th International Conference on General Relativity and Gravitation, Florence, Italy, 6\,--\,12 August 1995},
editor = {Francaviglia, M. and Longhi, G. and Lusanna, L. and Sorace, E.},
eprint = {gr-qc/9510009},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {313--335},
publisher = {World Scientific},
title = {Solutions of the Einstein equations with matter},
year = {1997}
}
@article{rendall97b,
author = {Rendall, A. D.},
doi = {10.1088/0264-9381/14/8/028},
eprint = {gr-qc/9703036},
journal = {Class. Quantum Grav.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {2341--2356},
title = {Global dynamics of the mixmaster model},
volume = {14},
year = {1997}
}
@article{rendall01,
author = {Rendall, A. D. and Weaver, M.},
doi = {10.1088/0264-9381/18/15/310},
eprint = {gr-qc/0103102},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {2959--2975},
title = {Manufacture of Gowdy spacetimes with spikes},
volume = {18},
year = {2001}
}
@article{ringstrom99,
author = {Ringstr{\"{o}}m, H.},
doi = {10.1088/0264-9381/17/4/301},
eprint = {gr-qc/9911115},
journal = {Class. Quantum Grav.},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {713--731},
title = {Curvature blow up in Bianchi VIII and IX vacuum spacetimes},
volume = {4},
year = {2000}
}
@article{ringstrom00,
author = {Ringstr{\"{o}}m, H.},
doi = {10.1007/PL00001041},
eprint = {gr-qc/0006035},
journal = {Ann. Henri Poincare},
keywords = {Mathematical relativity, Mixmaster, Singularities},
pages = {405--500},
title = {The Bianchi IX attractor},
volume = {2},
year = {2001}
}
@mastersthesis{rugh90a,
address = {Copenhagen},
author = {Rugh, S. E.},
format = {ma},
keywords = {Mixmaster, Numerical relativity, Singularities},
note = {Available on request to the author},
school = {Niels Bohr Institute},
title = {Chaotic Behavior and Oscillating Three-Volumes in a Space-Time Metric in General Relativity},
year = {1990}
}
@article{rugh90b,
author = {Rugh, S. E. and Jones, B. J. T.},
doi = {10.1016/0375-9601(90)90553-Z},
journal = {Phys. Lett. A},
keywords = {Mixmaster, Numerical relativity},
pages = {353},
title = {Chaotic Behaviour and Oscillating Three-Volumes in Bianchi IX Universes},
volume = {147},
year = {1990}
}
@inproceedings{rugh94,
address = {New York},
author = {Rugh, S. E.},
booktitle = {Deterministic Chaos in General Relativity},
conference = {Proceedings of the NATO Advanced Research Workshop, held July 25\,--\,30, 1993, in Kananaskis, Alberta, Canada},
editor = {Hobill, D. W. and Burd, A. and Coley, A. A.},
keywords = {Mixmaster, Singularities},
publisher = {Plenum},
series = {NATO ASI Series B},
title = {Chaos in the Einstein Equations -- Characterization and Importance?},
volume = {332},
year = {1994}
}
@article{ryan71,
author = {Ryan Jr, M. P.},
journal = {Ann. Phys. (N.Y.)},
keywords = {Mathematical cosmology, Mixmaster, Singularities},
pages = {541--555},
title = {Qualitative Cosmology: Diagrammatic Solutions for Bianchi IX Universes with Expansion, Rotation, and Shear II: The General Case},
volume = {68},
year = {1971}
}
@book{ryan75,
address = {Princeton, NJ},
author = {Ryan Jr, M. P. and Shepley, L. C.},
keywords = {Mathematical cosmology, Mixmaster},
publisher = {Princeton University Press},
series = {Princeton Series in Physics},
title = {Homogeneous Relativistic Cosmologies},
year = {1975}
}
@article{seidel94,
adsurl = {http://adsabs.harvard.edu/abs/1994PhRvL..72.2516S},
archiveprefix = {arXiv},
author = {Seidel, E. and Suen, W.-M.},
doi = {10.1103/PhysRevLett.72.2516},
eprint = {gr-qc/9309015},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Numerical relativity, Boson stars},
pages = {2516--2519},
title = {Formation of solitonic stars through gravitational cooling},
volume = {72},
year = {1994}
}
@article{shapiro91,
author = {Shapiro, S. L. and Teukolsky, S. A.},
doi = {10.1103/PhysRevLett.66.994},
journal = {Phys. Rev. Lett.},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
pages = {994--997},
title = {Formation of Naked Singularities: The Violation of Cosmic Censorship},
volume = {66},
year = {1991}
}
@article{shapiro92,
author = {Shapiro, S. L. and Teukolsky, S. A.},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
pages = {2006--2012},
title = {Gravitational collapse of rotating spheroids and the formation of naked singularities},
volume = {45},
year = {1992}
}
@article{shapiro93,
author = {Shapiro, S. L. and Teukolsky, S. A.},
journal = {Astrophys. J.},
keywords = {Cosmic censorship, Numerical relativity, Singularities},
pages = {622--635},
title = {Relativistic Stellar Systems with Spindle Singularities},
volume = {419},
year = {1993}
}
@article{schoen83,
author = {Schoen, R. and Yau, S.-T.},
doi = {10.1007/BF01216187},
journal = {Commun. Math. Phys.},
keywords = {Cosmic censorship, Hoop conjecture},
pages = {575--579},
title = {The Existence of a Black Hole Due to Condensation of Matter},
volume = {90},
year = {1983}
}
@article{stahl01,
author = {St{\aa}hl, F.},
doi = {10.1088/0264-9381/19/17/301},
eprint = {gr-qc/0109011},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology, Singularities},
pages = {4483--4504},
title = {Fuchsian Analysis of $S^2 \times S^1$ and $S^3$ Gowdy Spacetimes},
volume = {19},
year = {2002}
}
@article{suzuki90,
author = {Suzuki, M.},
doi = {10.1016/0375-9601(90)90962-N},
journal = {Phys. Lett. A},
keywords = {Symplectic numerical methods},
pages = {319--323},
title = {Fractal Decomposition of Exponential Operators with Applications to Many-body Theories and Monte Carlo Simulations},
volume = {146},
year = {1990}
}
@article{suzuki91,
author = {Suzuki, M.},
doi = {10.1063/1.529425},
journal = {J. Math. Phys.},
keywords = {Symplectic numerical methods},
pages = {400--407},
title = {General Theory of Fractal Path Integrals with Applications to Many-body Theories and Statistical Physics},
volume = {32},
year = {1991}
}
@article{taub51,
author = {Taub, A.},
doi = {10.2307/1969567},
journal = {Ann. Math.},
keywords = {Mathematical relativity},
pages = {472},
title = {Empty Space-Times Admitting a Three-Parameter Group of Motions},
volume = {53},
year = {1951}
}
@article{teukolsky00,
archiveprefix = {arXiv},
author = {Teukolsky, S. A.},
doi = {10.1103/PhysRevD.61.087501},
eid = {087501},
eprint = {gr-qc/9909026},
journal = {Phys. Rev. D},
keywords = {Numerical relativity},
primaryclass = {gr-qc},
title = {Stability of the iterated Crank-Nicholson method in numerical relativity},
volume = {61},
year = {2000}
}
@inproceedings{thornburg00,
address = {Singapore; River Edge, NJ},
author = {Thornburg, J. and Lechner, C. and P{\"{u}}rrer, M. and Aichelburg, P. C. and Husa, S.},
booktitle = {The Ninth Marcel Grossmann Meeting on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories, Part B},
conference = {Proceedings of the MGIX MM meeting held at the University of Rome `La Sapienza', July 2\,--\,8, 2000},
editor = {Gurzadyan, V. G. and Jantzen, R. T. and Ruffini, R.},
eprint = {gr-qc/0012043},
keywords = {Critical phenomena, Nonlinear sigma model, Wave maps},
pages = {1670--1671},
publisher = {World Scientific},
title = {Episodic Self-Similarity in Critical Gravitational Collapse},
year = {2002}
}
@incollection{thorne74,
address = {San Francisco},
adsurl = {http://adsabs.harvard.edu/abs/1972mwm..book..231T},
author = {Thorne, K. S.},
booktitle = {Magic Without Magic: John Archibald Wheeler. A Collection of Essays in Honor of his Sixtieth Birthday},
editor = {Klauder, J. R.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {231--258},
publisher = {W.H. Freeman},
title = {Nonspherical gravitational collapse: A short review},
year = {1972}
}
@incollection{tipler80,
address = {New York},
author = {Tipler, F. J. and Clarke, C. J. S. and Ellis, G. F. R.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {97--206},
publisher = {Plenum},
title = {Singularities and Horizons -- A Review Article},
year = {1980}
}
@article{tod92,
author = {Tod, K. P.},
journal = {Class. Quantum Grav.},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {1581--1591},
title = {The hoop conjecture and the Gibbons--Penrose construction of trapped surfaces},
volume = {9},
year = {1992}
}
@article{vanelst01,
author = {van Elst, H. and Uggla, C. and Wainwright, J.},
eprint = {gr-qc/0107041},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Mathematical cosmology},
pages = {51--82},
title = {Dynamical systems approach to $G_2$ cosmology},
volume = {19},
year = {2002}
}
@article{vanputten97,
author = {van Putten, M. H. P. M.},
eprint = {gr-qc/9701019},
journal = {Phys. Rev. D},
keywords = {Inhomogeneous cosmology, Numerical relativity},
pages = {4705--4711},
title = {Numerical Integration of Nonlinear Wave Equations for General Relativity},
volume = {55},
year = {1997}
}
@book{wald84,
address = {Chicago},
adsurl = {http://adsabs.harvard.edu/abs/1984ucp..book.....W},
author = {Wald, R. M.},
gbs_id = {IdAwZ1ei1scC},
keywords = {General relativity},
publisher = {University of Chicago Press},
title = {General Relativity},
year = {1984}
}
@article{wald91,
author = {Wald, R. M. and Iyer, V.},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {R3719--R3722},
title = {Trapped surfaces in the Schwarzschild geometry and cosmic censorship},
volume = {44},
year = {1991}
}
@preprint{wald97,
archiveprefix = {arXiv},
author = {Wald, R. M.},
eprint = {gr-qc/9710068},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
title = {Gravitational Collapse and Cosmic Censorship},
year = {1997}
}
@article{weaver98,
author = {Weaver, M. and Isenberg, J. A. and Berger, B. K.},
doi = {10.1103/PhysRevLett.80.2984},
eprint = {gr-qc/9712055},
journal = {Phys. Rev. Lett.},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {2984--2987},
title = {Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes},
volume = {80},
year = {1998}
}
@phdthesis{weaver99a,
address = {Eugene},
author = {Weaver, M.},
format = {phd},
keywords = {Gowdy models, Mathematical cosmology, Mixmaster, Numerical relativity},
school = {University of Oregon},
title = {Asymptotic Behavior to Solutions to Einstein's Equation},
year = {1999}
}
@article{weaver99b,
author = {Weaver, M.},
doi = {10.1088/0264-9381/17/2/311},
eprint = {gr-qc/9909043},
journal = {Class. Quantum Grav.},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {421--434},
title = {Dynamics of magnetic Bianchi VI${}_0$ cosmologies},
volume = {17},
year = {2000}
}
@inproceedings{weaver01,
address = {Singapore; River Edge, NJ},
author = {Weaver, M. and Berger, B. K. and Isenberg, J. A.},
booktitle = {The Ninth Marcel Grossmann Meeting on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories, Part B},
conference = {Proceedings of the MGIX MM meeting held at the University of Rome `La Sapienza', July 2\,--\,8, 2000},
editor = {Gurzadyan, V. G. and Jantzen, R. T. and Ruffini, R.},
eprint = {gr-qc/0101054},
keywords = {Inhomogeneous cosmology, Numerical cosmology, Singularities},
pages = {1011--1012},
publisher = {World Scientific},
title = {Oscillatory Approach to the Singularity in Vacuum $T^2$ Symmetric Spacetimes},
year = {2002}
}
@article{wojtkewicz90,
author = {Wojtkiewicz, J.},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Mathematical relativity, Singularities},
pages = {1867--1874},
title = {Naked Singularities in Initial Surfaces},
volume = {41},
year = {1990}
}
@article{yokoyama98,
author = {Yokoyama, J.},
eprint = {gr-qc/9804041},
journal = {Phys. Rev. D},
keywords = {Black holes, Cosmology, Critical phenomena},
pages = {107502},
title = {Cosmological constraints on primordial black holes produced in the near-critical gravitational collapse},
volume = {58},
year = {1998}
}
@article{zardecki83,
author = {Zardecki, A.},
journal = {Phys. Rev. D},
keywords = {Homogeneous cosmology, Mixmaster, Singularities},
pages = {1235--1242},
title = {Modeling in Chaotic Relativity},
volume = {28},
year = {1983}
}
@preprint{zotov97,
author = {Zotov, M. Y.},
eprint = {gr-qc/9704080},
format = {arxiv},
keywords = {Black holes, Cosmic censorship, Numerical relativity, Singularities},
title = {Einstein--Yang--Mills Black Hole Interiors: Serious Problems But Simple Solution},
year = {1997}
}